Finding the Third Proportional to 30,306 and 64,824

Step by Step Solution

1. Step 1: Write the proportion equation
   30,306 : 64,824 = 64,824 : x
2. Step 2: Convert to fraction form
   30,306/64,824 = 64,824/x
3. Step 3: Cross multiply
   30,306x = 64,824 × 64,824
4. Step 4: Simplify right side
   30,306x = 4,202,150,976
5. Step 5: Solve for x
   x = 4,202,150,976/30,306
6. Step 6: Final answer
   x = 138,657.39